Physics · JEE | SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

The angular acceleration \( \alpha \) is defined as the time rate of change of angular velocity \( \omega \). Which of the following expresses this relation?

1. A
   \( \alpha = \frac{d^2\theta}{dt^2} \)
2. B
   \( \alpha = \frac{d\theta}{dt} \)
3. C
   \( \alpha = \frac{d\omega}{dt} \)
4. D
   \( \alpha = \boldsymbol{\omega} \times \mathbf{r} \)